论文标题

波和颗粒之间连续过渡的直接证据

Direct evidence of a continuous transition between waves and particles

论文作者

Kisielowski, Christian, Specht, Petra, Helveg, Stig, Chen, Fu-Rong, Freitag, Bert, Jinschek, Joerg, Van Dyck, Dirk

论文摘要

通过使用电子显微镜测量evanevanscent场的离域化,可以分析粒子与电子相互作用的波浪描述之间的相关性。它的空间延伸与遵守时间依赖性的schrödinger方程并经历鹅hänchen偏移的传播波包的能量依赖性,自相关长度一致。在Heisenberg极限中,它们是由相干弹性库仑相互作用中的自我互动创建的,与脱碳相的相互作用δϕ = 0.5 rad = 0.5 rad,并缩小到粒子样维度,以使能量损失超过1000 eV。

The correlation between particle and wave descriptions of electron-matter interactions is analyzed by measuring the delocalization of an evanescent field using electron microscopy. Its spatial extension coincides with the energy-dependent, self-coherence length of propagating wave packets that obey the time-dependent Schrödinger equation and undergo a Goos-Hänchen shift. In the Heisenberg limit they are created by self-interferences during coherent-inelastic Coulomb interactions with a decoherence phase Δϕ = 0.5 rad and shrink to particle-like dimensions for energy losses of more than 1000 eV.

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